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Toeplitz operators and random matrices. In memory of Harold Widom. (English) Zbl 1519.47002

Operator Theory: Advances and Applications 289. Cham: Birkhäuser (ISBN 978-3-031-13850-8/hbk; 978-3-031-13853-9/pbk; 978-3-031-13851-5/ebook). ix, 616 p. (2022).
Publisher’s description: This volume is dedicated to the memory of Harold Widom (1932–2021), an outstanding mathematician who has enriched mathematics with his ideas and ground breaking work since the 1950s until the present time.
It contains a biography of Harold Widom, personal notes written by his former students or colleagues, and also his last, previously unpublished paper on domain walls in a Heisenberg-Ising chain. Widom’s most famous contributions were made to Toeplitz operators and random matrices. While his work on random matrices is part of almost all the present-day research activities in this field, his work in Toeplitz operators and matrices was done mainly before 2000 and is therefore described in a contribution devoted to his achievements in just this area.
The volume contains 18 invited and refereed research and expository papers on Toeplitz operators and random matrices. These present new results or new perspectives on topics related to Widom’s work.
The articles of this volume will be reviewed individually.

MSC:

47-06 Proceedings, conferences, collections, etc. pertaining to operator theory
60-06 Proceedings, conferences, collections, etc. pertaining to probability theory
15-06 Proceedings, conferences, collections, etc. pertaining to linear algebra
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
15B48 Positive matrices and their generalizations; cones of matrices
60B20 Random matrices (probabilistic aspects)
00B15 Collections of articles of miscellaneous specific interest
00B30 Festschriften

Biographic References:

Widom, Harold
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